In a 2-dimensional plane , a vector thus can be expressed as : 1 . A = Ax î + Ay ĵ where , Ax = A cosθ and Ay = A sinθ
2 . A =
Analytical Method of Vector Addition Vectors Sum of the vectors Subtraction of the vectors
A =
Ax î + Ay ĵ and
B =
Bx î + By ĵ
R = A + B R = Rx î + Ry ĵwhere
Rx = Ax + BxandRy = Ay + By
R = A - B R = Rx î + Ry ĵwhere
Rx = Ax - BxandRy = Ay - By
A =
Ax î + Ay ĵ + Azk̂
B =
Bx î + By ĵ + Bzk̂
R = A + B R = Rx î + Ry ĵ + Rzk̂ where
Rx = Ax + BxandRy = Ay + By a ndRz = Az + Bz
R = A - B R = Rx î + Ry ĵ + Rzk̂ where
Rx = Ax - BxandRy = Ay - Bya ndRz = Az - Bz